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Finding the Fourth Proportional to 8,469.84, 12,686.31 and 8,375.27

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Solution

The fourth proportional to 8,469.84, 12,686.31 and 8,375.27 is: 12,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.84 : 12,686.31 = 8,375.27 : x
  2. Step 2: Convert to fraction form
    8,469.84/12,686.31 = 8,375.27/x
  3. Step 3: Cross multiply
    8,469.84x = 12,686.31 × 8,375.27
  4. Step 4: Simplify right side
    8,469.84x = 106,251,263.24
  5. Step 5: Solve for x
    x = 106,251,263.24/8,469.84
  6. Step 6: Final answer
    x = 12,544.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.